Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 381
jamb 2019

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A42
B20
C70
D54
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Question 382
jamb 2019
Age in years 7 8 9 10 11
No of pupils 4 13 30 44 9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

A48.6°
B56.3°
C46.8°
D13°
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Question 383
jamb 2019

A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

A6
B25
C15
D18
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Question 384
jamb 2019

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A148m
B382m
C282m
D248m
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Question 385
jamb 2019

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

A\(q = \frac{b^2(mn - a^2)}{a^2 p}\)
B\(q = \frac{m^2 n - a^2}{p^2}\)
C\(q = \frac{mn - 2b^2}{a^2}\)
D\(q = \frac{b^2 (n^2 - ma^2)}{n}\)
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Question 386
waec 2018

The graph of y = x\(^2\) and y = x intersect at which of these points?

A(0,0), (1,1)
B(0,0), (0,1)
C(1, 0), (0, 0)
D(0, 0) (0, 0)
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Question 387
waec 2018

M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M \(\cap\) N)'

A18
B20
C30
D38
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Question 388
waec 2018

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter

A42cm
B48cm
C52cm
D60cm
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Question 389
waec 2018

Given that Y is 20cm on a bearing of 300\(^o\) from x, how far south of y is x?

A10cm
B15cm
C25cm
D30cm
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Question 390
waec 2018

If tan x = \(\frac{4}{3}\), 0\(^o\) < x < 90\(^o\), find the value of sin x - cos x

A\(\frac{1}{10}\)
B\(\frac{1}{5}\)
C\(\frac{5}{12}\)
D1\(\frac{2}{5}\)
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Question 391
waec 2018

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take \(\pi = \frac{22}{7}\)]

A170\(^o\)
B177\(^o\)
C182\(^o\)
D192\(^o\)
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Question 392
waec 2018

Donations during the launching of a church project were sent in sealed envolopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?

AN26,792.00
BN26,972.00
CN62.792.00
DN62,972.00
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Question 393
waec 2018

In the diagram, PQ is a straight line, (m + n) = 110\(^o\) and (n + r) = 130\(^o\) and (m + r) = 120\(^o\). Find the ratio of m : n : r

 

A2 : 3 : 4
B3 : 4 : 5
C4 : 5 : 6
D5 : 6 : 7
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Question 394
waec 2018

In the diagram, PQ//RS. Find x in terms of y and z

Ax = 240\(^o\) - y - z
Bx = 180\(^o\) - y - z
Cx = 360\(^o\) + y -z
Dx = 360\(^o\) - y - z
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Question 395
waec 2018

The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m

A90\(^o\)
B60\(^o\)
C45\(^o\)
D30\(^o\)
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Question 396
waec 2018

The solution of x + 2 \(\geq\) 2x + 1 is illustrated

 

Ai
Bii
Ciii
Div
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Question 397
waec 2018

In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded

A25cm\(^2\)
B24cm\(^2\)
C16cm\(^2\)
D12cm\(^2\)
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Question 398
waec 2018

In the diagram, PS and RS are tangents to the circle centre O. ∠PSR = 70°, ∠POR = m, and ∠PSR =n. Find ( m + n ).

A110\(^o\)
B135\(^o\)
C165\(^o\)
D225\(^o\)
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Question 399
waec 2018

In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?

ATrapezium
BPrism
CRectangle
DRhombus
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Question 400
waec 2018

In the diagram, PR is a tangent to the circle at Q, QT//RS, < SQR = 35º and < RSQ = 50º. Find the value of

A40\(^o\)
B65\(^o\)
C85\(^o\)
D95\(^o\)
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